Volterra-Legendre functions to identify heat exchanger in reactors performing exothermic processes

  • Carlos Medina-Ramos
  • Daniel Carbonel-Olazabal Universidad Nacional de Ingeniería
  • Maria Vigil-Cornejo Universidad Inca Garcilaso de la Vega

Resumen

In this study, successful modeling of the dynamics of reflux heat exchangers through the Volterra functions with projected kernels on the hyper-surfaces generated by finite bases of Legendre orthogonal polynomials is presented. For which, the Reflux Heat Exchanger (RHE) that operates with a batch reactor that manufactures phenolic resin through exothermic processes was used as a test plant to identify the nonlinear dynamics of the RHE by using mathematical tools. Knowing this dynamic is crucial because the exchanger must absorb the excess thermal energy of the reaction, so proper control of the exchanger will prevent a sudden temperature growth, which is required to manufacture high-quality products and manage processes with minimal work environment pollution by formaldehyde. Finally, the appropriate adjustment of the nonlinear dynamics of the process with the Volterra-Legendre model indicates that the proposal is a promising alternative for effective control of exothermic processes.

##submission.authorBiography##

Carlos Medina-Ramos

In this study, successful modeling of the dynamics of reflux heat exchangers through the Volterra functions with projected kernels on the hyper-surfaces generated by finite bases of Legendre orthogonal polynomials is presented. For which, the Reflux Heat Exchanger (RHE) that operates with a batch reactor that manufactures phenolic resin through exothermic processes was used as a test plant to identify the nonlinear dynamics of the RHE by using mathematical tools. Knowing this dynamic is crucial because the exchanger must absorb the excess thermal energy of the reaction, so proper control of the exchanger will prevent a sudden temperature growth, which is required to manufacture high-quality products and manage processes with minimal work environment pollution by formaldehyde. Finally, the appropriate adjustment of the nonlinear dynamics of the process with the Volterra-Legendre model indicates that the proposal is a promising alternative for effective control of exothermic processes.

Publicado
2020-12-10
##submission.howToCite##
MEDINA-RAMOS, Carlos; CARBONEL-OLAZABAL, Daniel; VIGIL-CORNEJO, Maria. Volterra-Legendre functions to identify heat exchanger in reactors performing exothermic processes. Éxegesis, [S.l.], v. 12, n. 1, p. 5, dic. 2020. ISSN 2077-012X. Disponible en: <http://revistas.uigv.edu.pe/index.php/exegesis/article/view/709>. Fecha de acceso: 16 ene. 2021
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